What is the Greatest Common Factor of 26128 and 26148?

Greatest common factor (GCF) of 26128 and 26148 is 4.

GCF(26128,26148) = 4

We will now calculate the prime factors of 26128 and 26148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26128 and 26148.

How to find the GCF of 26128 and 26148?

We will first find the prime factorization of 26128 and 26148. After we will calculate the factors of 26128 and 26148 and find the biggest common factor number .

Step-1: Prime Factorization of 26128

Prime factors of 26128 are 2, 23, 71. Prime factorization of 26128 in exponential form is:

26128 = 2⁴ × 23¹ × 71¹

Step-2: Prime Factorization of 26148

Prime factors of 26148 are 2, 3, 2179. Prime factorization of 26148 in exponential form is:

26148 = 2² × 3¹ × 2179¹

Step-3: Factors of 26128

List of positive integer factors of 26128 that divides 26128 without a remainder.

1, 2, 4, 8, 16, 23, 46, 71, 92, 142, 184, 284, 368, 568, 1136, 1633, 3266, 6532, 13064

Step-4: Factors of 26148

List of positive integer factors of 26148 that divides 26128 without a remainder.

1, 2, 3, 4, 6, 12, 2179, 4358, 6537, 8716, 13074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26128 and 26148. The biggest common factor number is the GCF number.
So the greatest common factor 26128 and 26148 is 4.

Also check out the Least Common Multiple of 26128 and 26148